Magma V2.19-8 Tue Aug 20 2013 23:52:42 on localhost [Seed = 2050757039] Type ? for help. Type -D to quit. Loading file "L13n3386__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3386 geometric_solution 10.42651402 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519435751368 1.676264874591 0 4 0 5 0132 0132 3012 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831334364314 0.544298847174 6 3 7 0 0132 3012 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132243192614 0.674604450565 2 5 0 8 1230 0321 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.706802690734 0.855183215599 9 1 10 9 0132 0132 0132 2031 1 0 1 1 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 10 -1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158038447764 0.551256776958 6 11 1 3 2103 0132 0132 0321 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.116724624262 0.527484396643 2 10 5 7 0132 1230 2103 2031 0 1 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327425636180 0.703490533455 8 6 8 2 1023 1302 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612308616567 0.460681670927 11 7 3 7 2031 1023 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727119453977 0.649616703722 4 4 10 11 0132 1302 1302 3120 0 0 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 1 0 -1 -10 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519435751368 1.676264874591 9 11 6 4 2031 0321 3012 0132 1 0 1 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226238442102 0.821081658991 9 5 8 10 3120 0132 1302 0321 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133668256857 1.323413904583 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0011_2'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0011_7'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_7'], 'c_1100_11' : d['c_0011_2'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 478527272152854889/4073220049872240*c_1100_0^13 + 1472504804159756753/2715480033248160*c_1100_0^12 - 27341349597464266813/16292880199488960*c_1100_0^11 + 55802182114100411183/16292880199488960*c_1100_0^10 - 5180015322928358761/814644009974448*c_1100_0^9 + 12745055495136932269/2036610024936120*c_1100_0^8 - 172125701710810597787/16292880199488960*c_1100_0^7 + 53465350896621471337/16292880199488960*c_1100_0^6 - 15368793541336508459/1810320022165440*c_1100_0^5 - 6915562069158491801/362064004433088*c_1100_0^4 - 7506082612738176764/254576253117015*c_1100_0^3 - 8247792400464093313/509152506234030*c_1100_0^2 - 27266261227626924233/3258576039897792*c_1100_0 - 11902028689860439297/16292880199488960, c_0011_0 - 1, c_0011_10 - 87498815539583/98059001200628*c_1100_0^13 + 1622798269428615/392236004802512*c_1100_0^12 - 10055954336596231/784472009605024*c_1100_0^11 + 41114222091868151/1568944019210048*c_1100_0^10 - 38110406808542363/784472009605024*c_1100_0^9 + 18801196134505225/392236004802512*c_1100_0^8 - 62801255048721337/784472009605024*c_1100_0^7 + 39290169712356855/1568944019210048*c_1100_0^6 - 49359657521046815/784472009605024*c_1100_0^5 - 228144512711490971/1568944019210048*c_1100_0^4 - 21514091153769729/98059001200628*c_1100_0^3 - 92002735702048997/784472009605024*c_1100_0^2 - 23624558881121235/392236004802512*c_1100_0 - 8340296752885961/1568944019210048, c_0011_11 - 792865944472703/784472009605024*c_1100_0^13 + 7324341480424545/1568944019210048*c_1100_0^12 - 45348157332292783/3137888038420096*c_1100_0^11 + 92574159604020927/3137888038420096*c_1100_0^10 - 85898311919393331/1568944019210048*c_1100_0^9 + 84480975446715871/1568944019210048*c_1100_0^8 - 284540118738895099/3137888038420096*c_1100_0^7 + 87171145820714523/3137888038420096*c_1100_0^6 - 226508178894356289/3137888038420096*c_1100_0^5 - 519120592769611297/3137888038420096*c_1100_0^4 - 395630333701812617/1568944019210048*c_1100_0^3 - 219468818290004495/1568944019210048*c_1100_0^2 - 226762010382064353/3137888038420096*c_1100_0 - 23356699652060251/3137888038420096, c_0011_2 - 1, c_0011_3 + 221063207839051/784472009605024*c_1100_0^13 - 2042167493247885/1568944019210048*c_1100_0^12 + 12682295322971507/3137888038420096*c_1100_0^11 - 25991137966031743/3137888038420096*c_1100_0^10 + 24218272307027447/1568944019210048*c_1100_0^9 - 24086479089263883/1568944019210048*c_1100_0^8 + 81220339482139815/3137888038420096*c_1100_0^7 - 25992296987623195/3137888038420096*c_1100_0^6 + 66023304985783389/3137888038420096*c_1100_0^5 + 143494719585920137/3137888038420096*c_1100_0^4 + 111541651377648625/1568944019210048*c_1100_0^3 + 63285094813486863/1568944019210048*c_1100_0^2 + 73478805220630093/3137888038420096*c_1100_0 + 8235461764361827/3137888038420096, c_0011_7 + 4094208119093741/5099068062432656*c_1100_0^13 - 37741152240694909/10198136124865312*c_1100_0^12 + 233602133803373255/20396272249730624*c_1100_0^11 - 119172723707171991/5099068062432656*c_1100_0^10 + 442836974776547895/10198136124865312*c_1100_0^9 - 217836183781744391/5099068062432656*c_1100_0^8 + 1475422487863224633/20396272249730624*c_1100_0^7 - 227412204588295423/10198136124865312*c_1100_0^6 + 1191887821098639373/20396272249730624*c_1100_0^5 + 1335410573934303223/10198136124865312*c_1100_0^4 + 516469852350502253/2549534031216328*c_1100_0^3 + 1156512398682745491/10198136124865312*c_1100_0^2 + 1213472120712056617/20396272249730624*c_1100_0 + 25919691303540519/5099068062432656, c_0101_0 + 5580843928975/60344000738848*c_1100_0^13 - 52775594407729/120688001477696*c_1100_0^12 + 330932009119407/241376002955392*c_1100_0^11 - 690179584384887/241376002955392*c_1100_0^10 + 647933813000133/120688001477696*c_1100_0^9 - 682560933135393/120688001477696*c_1100_0^8 + 2230127644014231/241376002955392*c_1100_0^7 - 1000773350795863/241376002955392*c_1100_0^6 + 1884804681805297/241376002955392*c_1100_0^5 + 3255713416539673/241376002955392*c_1100_0^4 + 2659794279919247/120688001477696*c_1100_0^3 + 1259348327979613/120688001477696*c_1100_0^2 + 1099019482245925/241376002955392*c_1100_0 - 14179001191841/241376002955392, c_0101_1 + 297310720177/1885750023089*c_1100_0^13 - 22154585953459/30172000369424*c_1100_0^12 + 138043081026035/60344000738848*c_1100_0^11 - 568304834399217/120688001477696*c_1100_0^10 + 264661633263659/30172000369424*c_1100_0^9 - 532087721486399/60344000738848*c_1100_0^8 + 110262273943545/7543000092356*c_1100_0^7 - 596195319419779/120688001477696*c_1100_0^6 + 708998265017059/60344000738848*c_1100_0^5 + 3056511886326133/120688001477696*c_1100_0^4 + 2347916691969323/60344000738848*c_1100_0^3 + 626165595875829/30172000369424*c_1100_0^2 + 750625091451281/60344000738848*c_1100_0 + 171127911305365/120688001477696, c_0101_2 - 80753570828279/784472009605024*c_1100_0^13 + 739566693679449/1568944019210048*c_1100_0^12 - 4581808137794455/3137888038420096*c_1100_0^11 + 9339923665767167/3137888038420096*c_1100_0^10 - 8696294240550627/1568944019210048*c_1100_0^9 + 8495549984413763/1568944019210048*c_1100_0^8 - 29106291572565347/3137888038420096*c_1100_0^7 + 8198780692082883/3137888038420096*c_1100_0^6 - 23790504580441353/3137888038420096*c_1100_0^5 - 54231235790571201/3137888038420096*c_1100_0^4 - 41865523225932249/1568944019210048*c_1100_0^3 - 25759281735720787/1568944019210048*c_1100_0^2 - 32158103767621161/3137888038420096*c_1100_0 - 4980088688959507/3137888038420096, c_0101_7 - 1/416*c_1100_0^13 + 7/832*c_1100_0^12 - 41/1664*c_1100_0^11 + 69/1664*c_1100_0^10 - 67/832*c_1100_0^9 + 27/832*c_1100_0^8 - 281/1664*c_1100_0^7 - 211/1664*c_1100_0^6 - 487/1664*c_1100_0^5 - 1171/1664*c_1100_0^4 - 1125/832*c_1100_0^3 - 1459/832*c_1100_0^2 - 3267/1664*c_1100_0 - 1661/1664, c_1001_4 + 30422315171139/30172000369424*c_1100_0^13 - 281197739625497/60344000738848*c_1100_0^12 + 1741186214667159/120688001477696*c_1100_0^11 - 3555540109708761/120688001477696*c_1100_0^10 + 206182612182323/3771500046178*c_1100_0^9 - 1623655003771009/30172000369424*c_1100_0^8 + 10923470114707965/120688001477696*c_1100_0^7 - 3368039964445627/120688001477696*c_1100_0^6 + 8676531485888921/120688001477696*c_1100_0^5 + 19881245365099003/120688001477696*c_1100_0^4 + 7567478171650721/30172000369424*c_1100_0^3 + 4167644403967647/30172000369424*c_1100_0^2 + 8484664040639715/120688001477696*c_1100_0 + 777864187065747/120688001477696, c_1100_0^14 - 9/2*c_1100_0^13 + 55/4*c_1100_0^12 - 55/2*c_1100_0^11 + 203/4*c_1100_0^10 - 47*c_1100_0^9 + 335/4*c_1100_0^8 - 35/2*c_1100_0^7 + 69*c_1100_0^6 + 171*c_1100_0^5 + 1079/4*c_1100_0^4 + 167*c_1100_0^3 + 349/4*c_1100_0^2 + 29/2*c_1100_0 + 3/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB